Iterative Solution of Large Linear Systems

Science & Math

Young, David M.

Mathematics

Academic Pr

Therapeutic changes occur in many places, and among animals as well as humans. A theory that attempts to explain therapeutic changes should be based on principles that apply not only to those changes occurring during the hour, but also to those observed in the educational process, in interpersonal relations, and in the social milieu, as well as with animals. It would be desirable to discover principles broad enough to provide a deeper understanding of therapeutic change in this wide variety of situations. Experienced therapists appear to be similar in what they are doing, although they may disagree as to why they do it. In spite of the arguments about theoretical formulations, it can be observed that during an hour with a patient many psychotherapists may not follow their own theories too well. There probably is some relevance in a comparison of psychotherapy with a concept formation test: the subject gives the correct answers but is unable to state why he did so or what principles he followed in making his choices. The therapist, too, may help a patient but he is often uncertain as to "why" and "how." It is very likely that the effective principles in therapeutic work rest on processes that are more general than the specific principles advanced by different schools. This volume combines the elements of psychodynamic and cognitive behavioral therapy in a theoretical system that focuses on the importance of patient-therapist interaction, especially in terms of the exchange of subtle or covert communication cues. In this significantly updated and expanded edition of their classic text, Beier and Young analyze recent developments in new areas of practice facing today's therapist: managed care and the clinical impact of the control of healthcare delivery; and biological intervention and other issues related to psychotropic medication. Ernst G. Beier is professor emeritus of psychology at the University of Utah. He is active in the American Psychological Association, and was one of its founding presidents. He is the author of many articles on psychotherapy and clinical psychology. David M. Young is professor of psychology at Indiana University-Perdue University at Fort Wayne. He is the author of numerous journal articles and has private practice in psychology and is busy in consulting.

The Silent Language of Psychotherapy: Social Reinforcement of Unconscious Processes

Health, Fitness & Dieting

Beier, Ernst G.

Psychology & Counseling

Aldine de Gruyter

The Silent Language of Psychotherapy

Therapeutic changes occur in many places, and among animals as well as humans. A theory that attempts to explain therapeutic changes should be based on principles that apply not only to those changes occurring during the hour, but also to those observed in the educational process, in interpersonal relations, and in the social milieu, as well as with animals. It would be desirable to discover principles broad enough to provide a deeper understanding of therapeutic change in this wide variety of situations. Experienced therapists appear to be similar in what they are doing, although they may disagree as to why they do it. In spite of the arguments about theoretical formulations, it can be observed that during an hour with a patient many psychotherapists may not follow their own theories too well. There probably is some relevance in a comparison of psychotherapy with a concept formation test: the subject gives the correct answers but is unable to state why he did so or what principles he followed in making his choices. The therapist, too, may help a patient but he is often uncertain as to "why" and "how." It is very likely that the effective principles in therapeutic work rest on processes that are more general than the specific principles advanced by different schools. This volume combines the elements of psychodynamic and cognitive behavioral therapy in a theoretical system that focuses on the importance of patient-therapist interaction, especially in terms of the exchange of subtle or covert communication cues. In this significantly updated and expanded edition of their classic text, Beier and Young analyze recent developments in new areas of practice facing today's therapist: managed care and the clinical impact of the control of healthcare delivery; and biological intervention and other issues related to psychotropic medication.

Routledge

Beier, Ernest G.

Aldine Transaction

Designed as a text for a three-semester course in numerical analysis, this highly regarded work presents a broad overview of computer-oriented numerical algorithms for solving various types of mathematical problems. The book is intended not only to impart a working knowledge of practical techniques for solving real problems but to prepare the student for advanced studies at the graduate level. Topics include: Evaluation of elementary functions Solution of a single nonlinear equation with specific reference to polynomial equations Interpolation and approximation Numerical differentiation and quadrature Ordinary differential equations Computational problems in linear algebra Numerical solution of elliptic and parabolic partial differential equations by finite difference methods Solution of large linear systems by iterative methods In addition to thorough coverage of the fundamentals, these wide-ranging volumes contain such special features as an introduction to computer arithmetic, including an error analysis of a system of linear algebraic equations with rational coefficients, and an emphasis on computations as well as mathematical aspects of various problems. Geared toward senior-level undergraduates and first-year graduate students, the book assumes some knowledge of advanced calculus, elementary complex analysis, matrix theory, and ordinary and partial differential equations. However, the work is largely self-contained, with basic material summarized in an appendix, making it a perfect resource for self-study. Ideal as a course text in numerical analysis or as a supplementary text in numerical methods, A Survey of Numerical Mathematics judiciously blends mathematics, numerical analysis, and computation. The result is an unusually valuable reference and learning tool for modern mathematicians, computer scientists, programmers, engineers, and physical scientists.

A Survey of Numerical Mathematics - Volume I (Volume 1)

Gregory, Robert Todd

Dover Publications

Designed as a text for a three-semester course in numerical analysis, this highly regarded work presents a broad overview of computer-oriented numerical algorithms for solving various types of mathematical problems. The book is intended not only to impart a working knowledge of practical techniques for solving real problems but to prepare the student for advanced studies at the graduate level. Topics include: Evaluation of elementary functions Solution of a single nonlinear equation with specific reference to polynomial equations Interpolation and approximation Numerical differentiation and quadrature Ordinary differential equations Computational problems in linear algebra Numerical solution of elliptic and parabolic partial differential equations by finite difference methods Solution of large linear systems by iterative methods In addition to thorough coverage of the fundamentals, these wide-ranging volumes contain such special features as an introduction to computer arithmetic, including an error analysis of a system of linear algebraic equations with rational coefficients, and an emphasis on computations as well as mathematical aspects of various problems. Geared toward senior-level undergraduates and first-year graduate students, the book assumes some knowledge of advanced calculus, elementary complex analysis, matrix theory, and ordinary and partial differential equations. However, the work is largely self-contained, with basic material summarized in an appendix, making it a perfect resource for self-study. Ideal as a course text in numerical analysis or as a supplementary text in numerical methods, A Survey of Numerical Mathematics judiciously blends mathematics, numerical analysis, and computation. The result is an unusually valuable reference and learning tool for modern mathematicians, computer scientists, programmers, engineers, and physical scientists.

A Survey of Numerical Mathematics, Vol. 2

This lavishly illustrated history of Chicago as freight handler to the nation chronicles the vital role of waterborne trade and transportation in building a metropolis on the swampland that the Illiniwek once called Checagou. Louis Jolliet, the first European explorer to the area, recognized that a waterway between the Great Lakes and the Mississippi River could link the Atlantic and the Gulf of Mexico, making Checagou the fulcrum of east-west and north-south transportation for the continent. Upon completion of the I&amp;M Canal in 1848, Chicago quickly became one of the busiest ports in the world, attracting thousands of schooners, barks, sloops, and paddle-wheel steamships. More than 100 illustrations and maps—along with tales of majestic sailing ships, piracy, terrible storms, and tragic shipwrecks—portray the eventful history of Chicago's waterways. Young describes the reversal of the Chicago River, which helped to clean the city and flood it with new life. Chicago flourished as a port of entry to the West and transportation hub, despite the disastrous Great Fire of 1871 that destroyed much of the city, including the docks and ships moored along the Chicago River. Marine disasters took their toll, too, as when the Eastland capsized in 1915, drowning nearly 900 passengers. Through narratives by two famous travelers of Chicago's waterways, Charles Dickens and Abraham Lincoln, Young reveals the hardships and small comforts of lake and river travel in its heyday. He also tells of Chicago's marine traditions, such as the eagerly anticipated arrival of ships bearing Christmas trees that drew holiday crowds to the docks each year. Today, giant car ferries and enormous ore carriers larger than battleships ply the lakes alongside luxury yachts, while the rivers that feed Chicago—and allow Chicago to feed the world—are still lively with traffic. Chicago's geographic advantages, which allowed it to eclipse competitors in the age of sail and steam, assure that it will remain a vital center for American transportation and commerce in the twenty-first century.

Chicago Maritime: An Illustrated History

Children's Books

History

Northern Illinois University Press

With the coming of railroads, upstart Chicago quickly became the Midwest's center for commerce and trade, overtaking its older rival, St. Louis. The first tracks to link the East coast with the West ran through Chicago, and within a few decades the city grew to be the hub of an immense transportation network that stretched across the nation. Noted transportation writer David M. Young vividly tells how railroads created and shaped Chicago, from the earliest times to the present. He shows how the expansion of rail lines promoted the growth of the suburbs, and how Chicago's burgeoning manufacturing hub became home to such corporate giants as Cyrus McCormick's harvester operation and catalogue houses Montgomery Ward; Spiegel; and Sears, Roebuck and Company. For the most part, the railroad companies that schemed to bypass Chicago failed. As the hub of a vast transportation network, Chicago experienced many tragic accidents at rail crossings. One of the first books to deal with the history of accidents and issues of safety, The Iron Horse and the Windy City reveals how Chicago eventually forced railroad companies to eliminate dangerous crossings by installing barriers or by raising tracks above street level. Railroad magnates, entrepreneurs, and ordinary people come to life in this first comprehensive account of the impact of railroads on Chicago. Transportation historians and general readers interested in Chicago will find it both essential and engaging.

The Iron Horse and the Windy City: How Railroads Shaped Chicago

Americas

Young and Strickland analyze the four largest discourses of Jesus in Mark in the context of Greco-Roman rhetoric in an attempt to hear them as a first-century audience would have heard them. Their analysis uncovers how the discourses are constructed; what issues each discourse seeks to treat; how the argumentation, arrangement, and style of each discourse contributes to its overall purpose; and how the discourse fits into the overall narrative context of the Gospel. The authors demonstrate that, contrary to what some historical critics have suggested, first-century audiences of Mark would have found the discourses of Jesus unified, well-integrated, and persuasive. They also show how these speeches of the Markan Jesus contribute to Mark's overall narrative accomplishments.

The Rhetoric of Jesus in the Gospel of Mark

Religion & Spirituality

Strickland, Michael

Christian Books & Bibles

Fortress Press

While statistics reveal a Christian world increasingly indistinguishable from secularism in America, many of us long for a deeper spirituality. The Gospel of Mark presents the starting point for serious Christian spirituality-extreme discipleship in Jesus Christ. Far from the complacency of mere church membership, Mark demands that we give up our old way of life for the Kingdom of God. Mark challenges our assumptions, our institutions, and our traditions-in short, our entire world view. For those who take it on its own terms, as a sermon calling us to follow Jesus, Mark promises to be the beginning of a rich and transformational spirituality. Extreme Discipleship: Following Jesus from the Gospel of Mark takes readers to the very heart of discipleship by bringing together solid biblical scholarship with repeated applications for following Jesus. The thirteen chapter book combines the form of a commentary with that of an in-depth Bible study guide, and is designed for Bible classes (both church and school), small groups, private study, and general teaching and preaching contexts. The book covers the entire text of Mark, but remains easy to read. Above all, it is provocative, because the Jesus of Mark's Gospel is provocative. David M. Young serves as a senior teaching minister for the North Boulevard Church of Christ in Murfreesboro, Tennessee. He has served churches in Tennessee, Missouri, and Kansas, and has taught Bible at several universities. He received the Ph.D. cum laude in New Testament from Vanderbilt University.

Extreme Discipleship: Following Jesus from the Gospel of Mark

E-BookTime, LLC

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